Publications

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Submitted papers

Frames for signal processing on Cayley graphs.

With K. Beck, S. Hudson, and J. Palteinsten.

Submitted  arXiv 2302.02812

Robust recovery of Robinson property in Lp-graphons: A cut-norm approach.

     With T. Mishura.

Submitted  arXiv 2303.16598

Constructing non-AMNM weighted convolution algebras for every semilattice of infinite breadth.

With Y. Choi and H.L. Pham.

Submitted  arXiv 2305.18272

Wavelet characterizations of the Sobolev wavefront set: bandlimited wavelets and compactly supported wavelets.

With H. Fuehr.

Submitted  arXiv 2402.02796

Published papers

Representing topological full groups in Steinberg algebras and C*-algebras

With  B. Armstrong, L. Orloff Clark, E.J. Kang, and D. Yang. 

Journal of Mathematical Analysis and Applications 534 (2024) 128023. arXiv 2309.04927

Graph sequences sampled from Robinson graphons.

With  J. Janssen

European Journal of Combinatorics 116(2024) 103859. arXiv 2005.05253

Signal processing on large networks with group symmetries.

With K. Beck, J. Janssen, and  N. Kalyaniwalla.

     Presented at Graph Signal Processing Workshop 2023 Oxford. arXiv 2303.17065

Frames for graph signals on the symmetric group: a representation theoretic approach.

With K. Beck.

IEEE Xplore: European Signal Processing Conference EUSIPCO (2022), 2071-2075. arXiv 2203.03036

A noncommutative approach to the graphon Fourier transform.

With  J. Janssen and Nauzer Kalyaniwalla.

Applied and Computational Harmonic Analysis 61 (2022), 101-131. arXiv 2109.08646

Beurling-Fourier algebras on Lie groups and their spectra. 

With H. H. Lee, J. Ludwig, N. Spronk, and L. Turowska. 

Advances in Mathematics 391 (2021), Paper No. 107951, 127 pp. arXiv 1804.10937    

Dual convolution for the affine group of the real line.

With Y. Choi. 

Complex Analysis and Operator Theory 15 (2021),  no. 4, 76, 32 pp. arXiv 2009.05497

Discrete frames for L2(Rn^2) arising from tiling systems on GLn(R).

With  K. Hollingsworth.  

Journal of Mathematical Analysis and Applications 503 (2021), no. 2, 21 pp. arXiv 2003.13113

Gabor-type frames for signal processing on graphs.

With D. Guillot and K. Hollingsworth

 Journal of Fourier Analysis and Applications 27 (2021), no. 2, Paper No. 25, 23 pp. arXiv 2009.06058

Unavoidable subprojections in union-closed set systems of infinite breadth.

With Y. Choi and H. L. Pham. 

European J. Combin. 94 (2021), 17 pp. arXiv 1702.06266

Stability of characters and filters for weighted semilattices.

With Y. Choi and H. L. Pham.  

Semigroup Forum 102 (2021), no. 1, 86-103.  arXiv 1901.00082

A non-commutative viewpoint on graph signal processing.

With D. Guillot and K. Hollingsworth.

IEEE Xplore: 2019 International Conference on Sampling Theory and Applications (SAMPTA).

An optimization parameter for seriation of noisy data.

With  J. Janssen

SIAM  J.  Discrete Mathematics (SIDMA). 33 (2019), no.2, 712-730. arXiv 1803.10354 

Derivations on the algebra of Rajchman measures.

Complex Anal. Synerg. 5 (2019), no. 1, Paper No. 6, 10 pp. arXiv 1804.10937  

Uniform linear embeddings of graphons.

With H. Chuangpishit and J. Janssen.

European J. Combin. 61 (2017) 47-68.  arXiv 1507.04389

Projections in L1(G): unimodular case.

With A. Alaghmandan, N. Spronk, and K. F. Taylor. 

Proc. Amer. Math. Soc., 144 (2016), no. 11, 4929-4941. arXiv 1510.09068

Some Beurling-Fourier algebras on compact groups are operator algebras. 

With H. H. Lee, E. Samei and N. Spronk. 

Trans. Amer. Math. Soc. 367 (2015), no. 10, 7029-7059. arXiv 1208.4835

Linear embeddings of graphs and graph limits. 

With H. Chuangpishit, M. Hurshman, J. Janssen and N. Kalyaniwalla. 

J. Combin. Theory Ser. B 113 (2015), 162-184. arXiv 1210.4451

Weak amenability for Fourier algebras of 1-connected nilpotent Lie groups.

With Y. Choi.

J. Funct. Anal. 268 (2015) no. 8, 2440-2463. arXiv 1405.6403

Uniform linear embeddings of spatial random graphs.

With H. Chuangpishit and J. Janssen.

Electronic Notes of Discrete Maths (refereed conference proceedings) 49 (2015), 541-547.

Images of the continuous wavelet transform. 

With K. F. Taylor. 

In "Operator methods in wavelets, tilings, and frames". Contemp. Math. 626 (2014), 55-65.

Weak and cyclic amenability for Fourier algebras of connected Lie groups.

With Y. Choi.

J. Funct. Anal. 266 (2014) no. 11, 6501-6530. arXiv 1304.3710

A four dimensional continuous wavelet transform. 

With A. Syzdykova and K. F. Taylor. 

"Commutative and Noncommutative Harmonic Analysis and Applications". Contemp. Math. 603 (2013), 123-136.

Amenability properties of Rajchman algebras. 

Indiana Univ. Math. J. 61 (2012), no. 3, 1369-1392. arXiv 1102.2667

Amenability constants for semilattice algebras. 

With H. Hatami and N. Spronk. 

Semigroup Forum 79 (2009), no. 2, 279-297. arXiv 0705.4279

Fourier analysis and large independent sets in powers of complete graphs. 

With H. Hatami. 

J. Combin. Theory Ser. B. 98 (2008), no. 1, pp. 164-172. arXiv math.CO/0612377

Circular chromatic index of graphs of maximum degree 3. 

With P. Afshani, M. Ghandehari, H. Hatami, R. Tusserkani, and X. Zhu. 

J. Graph Theory 49 (2005) no. 4, pp. 325-335. arXiv math.CO/0701016

On the size of the minimum critical set of a Latin square. 

With H. Hatami and E.S. Mahmoodian. 

J. Discrete Math. 293 (2005), nos. 1--3, pp. 121-127. arXiv math.CO/0701015

On Commuting Graphs of Semisimple Rings. 

With S. Akbari, M. Hadian, and A. Mohammadian. 

Linear Algebra Appl. 390 (2004), pp. 345-355.

Theses

Harmonic analysis of Rajchman algebras [link].

PhD thesis, 2010, University of Waterloo.

Independent sets in graph products via harmonic analysis [link].

Master's thesis, 2005, Concordia University.

On defining sets in Latin squares [in Farsi].

Master's thesis, 2003, Sharif University of Technology.